A mirror duality for families of K3 surfaces associated to bimodular singularities

Abstract

Ebeling and Ploog EbelingPloog studied a duality of bimodular singularities which is part of the Berglund--Hubsch mirror symmetry. Mase and Ueda MU showed that this duality leads to a polytope mirror symmetry of families of K3 surfaces. We discuss in this article how this symmetry extends to a symmetry between lattices.

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